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<div class="subTitle">org.apache.commons.math3.geometry.partitioning</div>
<h2 title="Interface Embedding" class="title">Interface Embedding&lt;S extends <a href="../../../../../../org/apache/commons/math3/geometry/Space.html" title="interface in org.apache.commons.math3.geometry">Space</a>,T extends <a href="../../../../../../org/apache/commons/math3/geometry/Space.html" title="interface in org.apache.commons.math3.geometry">Space</a>&gt;</h2>
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<dl><dt><span class="strong">Type Parameters:</span></dt><dd><code>S</code> - Type of the embedding space.</dd><dd><code>T</code> - Type of the embedded sub-space.</dd></dl>
<dl>
<dt>All Known Implementing Classes:</dt>
<dd><a href="../../../../../../org/apache/commons/math3/geometry/spherical/twod/Circle.html" title="class in org.apache.commons.math3.geometry.spherical.twod">Circle</a>, <a href="../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Line.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Line</a>, <a href="../../../../../../org/apache/commons/math3/geometry/euclidean/twod/Line.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Line</a>, <a href="../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Plane.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Plane</a></dd>
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<pre>public interface <span class="strong">Embedding&lt;S extends <a href="../../../../../../org/apache/commons/math3/geometry/Space.html" title="interface in org.apache.commons.math3.geometry">Space</a>,T extends <a href="../../../../../../org/apache/commons/math3/geometry/Space.html" title="interface in org.apache.commons.math3.geometry">Space</a>&gt;</span></pre>
<div class="block">This interface defines mappers between a space and one of its sub-spaces.

 <p>Sub-spaces are the lower dimensions subsets of a n-dimensions
 space. The (n-1)-dimension sub-spaces are specific sub-spaces known
 as <a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning"><code>hyperplanes</code></a>. This interface can be used regardless
 of the dimensions differences. As an example, <a href="../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Line.html" title="class in org.apache.commons.math3.geometry.euclidean.threed"><code>Line</code></a> in 3D
 implements Embedding<<a href="../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed"><code>Vector3D</code></a>, {link
 org.apache.commons.math3.geometry.euclidean.oned.Vector1D Vector1D>, i.e. it
 maps directly dimensions 3 and 1.</p>

 <p>In the 3D euclidean space, hyperplanes are 2D planes, and the 1D
 sub-spaces are lines.</p>

 <p>
 Note that this interface is <em>not</em> intended to be implemented
 by Apache Commons Math users, it is only intended to be implemented
 within the library itself. New methods may be added even for minor
 versions, which breaks compatibility for external implementations.
 </p></div>
<dl><dt><span class="strong">Since:</span></dt>
  <dd>3.0</dd>
<dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning"><code>Hyperplane</code></a></dd></dl>
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<h3>Method Summary</h3>
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<caption><span>Methods</span><span class="tabEnd">&nbsp;</span></caption>
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<th class="colFirst" scope="col">Modifier and Type</th>
<th class="colLast" scope="col">Method and Description</th>
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<td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/geometry/Point.html" title="interface in org.apache.commons.math3.geometry">Point</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Embedding.html" title="type parameter in Embedding">S</a>&gt;</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Embedding.html#toSpace(org.apache.commons.math3.geometry.Point)">toSpace</a></strong>(<a href="../../../../../../org/apache/commons/math3/geometry/Point.html" title="interface in org.apache.commons.math3.geometry">Point</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Embedding.html" title="type parameter in Embedding">T</a>&gt;&nbsp;point)</code>
<div class="block">Transform a sub-space point into a space point.</div>
</td>
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<tr class="rowColor">
<td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/geometry/Point.html" title="interface in org.apache.commons.math3.geometry">Point</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Embedding.html" title="type parameter in Embedding">T</a>&gt;</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Embedding.html#toSubSpace(org.apache.commons.math3.geometry.Point)">toSubSpace</a></strong>(<a href="../../../../../../org/apache/commons/math3/geometry/Point.html" title="interface in org.apache.commons.math3.geometry">Point</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Embedding.html" title="type parameter in Embedding">S</a>&gt;&nbsp;point)</code>
<div class="block">Transform a space point into a sub-space point.</div>
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<a name="toSubSpace(org.apache.commons.math3.geometry.Point)">
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<h4>toSubSpace</h4>
<pre><a href="../../../../../../org/apache/commons/math3/geometry/Point.html" title="interface in org.apache.commons.math3.geometry">Point</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Embedding.html" title="type parameter in Embedding">T</a>&gt;&nbsp;toSubSpace(<a href="../../../../../../org/apache/commons/math3/geometry/Point.html" title="interface in org.apache.commons.math3.geometry">Point</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Embedding.html" title="type parameter in Embedding">S</a>&gt;&nbsp;point)</pre>
<div class="block">Transform a space point into a sub-space point.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>point</code> - n-dimension point of the space</dd>
<dt><span class="strong">Returns:</span></dt><dd>(n-1)-dimension point of the sub-space corresponding to
 the specified space point</dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Embedding.html#toSpace(org.apache.commons.math3.geometry.Point)"><code>toSpace(org.apache.commons.math3.geometry.Point&lt;T&gt;)</code></a></dd></dl>
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<h4>toSpace</h4>
<pre><a href="../../../../../../org/apache/commons/math3/geometry/Point.html" title="interface in org.apache.commons.math3.geometry">Point</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Embedding.html" title="type parameter in Embedding">S</a>&gt;&nbsp;toSpace(<a href="../../../../../../org/apache/commons/math3/geometry/Point.html" title="interface in org.apache.commons.math3.geometry">Point</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Embedding.html" title="type parameter in Embedding">T</a>&gt;&nbsp;point)</pre>
<div class="block">Transform a sub-space point into a space point.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>point</code> - (n-1)-dimension point of the sub-space</dd>
<dt><span class="strong">Returns:</span></dt><dd>n-dimension point of the space corresponding to the
 specified sub-space point</dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Embedding.html#toSubSpace(org.apache.commons.math3.geometry.Point)"><code>toSubSpace(org.apache.commons.math3.geometry.Point&lt;S&gt;)</code></a></dd></dl>
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